Evaluate
\left(4-x\right)\left(x+10\right)
Expand
40-6x-x^{2}
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49-\left(x^{2}+6x+9\right)
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+3\right)^{2}.
49-x^{2}-6x-9
To find the opposite of x^{2}+6x+9, find the opposite of each term.
40-x^{2}-6x
Subtract 9 from 49 to get 40.
49-\left(x^{2}+6x+9\right)
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+3\right)^{2}.
49-x^{2}-6x-9
To find the opposite of x^{2}+6x+9, find the opposite of each term.
40-x^{2}-6x
Subtract 9 from 49 to get 40.
Examples
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Simultaneous equation
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
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Limits
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